Search a number
-
+
332424000000 = 29375619
BaseRepresentation
bin1001101011001100000…
…00111011001000000000
31011210001012101220000000
410311212000323020000
520421301021000000
6412414040000000
733005530243521
oct4654600731000
91153035356000
10332424000000
11118a86755414
1254514160000
1325469463621
1412137496848
1589a9000000
hex4d6603b200

332424000000 has 1120 divisors, whose sum is σ = 1310701972800. Its totient is φ = 83980800000.

The previous prime is 332423999987. The next prime is 332424000001. The reversal of 332424000000 is 424233.

It is a super-2 number, since 2×3324240000002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (332424000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17495999991 + ... + 17496000009.

Almost surely, 2332424000000 is an apocalyptic number.

332424000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655350986400).

332424000000 is an abundant number, since it is smaller than the sum of its proper divisors (978277972800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332424000000 is an frugal number, since it uses more digits than its factorization.

332424000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 332424000000 its reverse (424233), we get a palindrome (332424424233).

The spelling of 332424000000 in words is "three hundred thirty-two billion, four hundred twenty-four million", and thus it is an aban number.